TSTP Solution File: TOP023+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 21:25:27 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   63 (  20 unt;   0 def)
%            Number of atoms       :  243 (  50 equ)
%            Maximal formula atoms :   31 (   3 avg)
%            Number of connectives :  304 ( 124   ~; 130   |;  24   &)
%                                         (   1 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   90 (   3 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t1_tsp_2,conjecture,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
                      & X3 = X4
                      & v1_tsp_2(X3,X1) )
                   => v1_tsp_2(X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_tsp_2) ).

fof(free_g1_pre_topc,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3,X4] :
          ( g1_pre_topc(X1,X2) = g1_pre_topc(X3,X4)
         => ( X1 = X3
            & X2 = X4 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g1_pre_topc) ).

fof(dt_u1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_pre_topc) ).

fof(dt_g1_pre_topc,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ( v1_pre_topc(g1_pre_topc(X1,X2))
        & l1_pre_topc(g1_pre_topc(X1,X2)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_g1_pre_topc) ).

fof(abstractness_v1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ( v1_pre_topc(X1)
       => X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v1_pre_topc) ).

fof(t5_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
                      & X3 = X4
                      & v1_tsp_1(X3,X1) )
                   => v1_tsp_1(X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_tsp_1) ).

fof(d4_tsp_2,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
          <=> ( v1_tsp_1(X2,X1)
              & ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => ( ( v1_tsp_1(X3,X1)
                      & r1_tarski(X2,X3) )
                   => X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_tsp_2) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( l1_pre_topc(X1)
       => ! [X2] :
            ( l1_pre_topc(X2)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                   => ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
                        & X3 = X4
                        & v1_tsp_2(X3,X1) )
                     => v1_tsp_2(X4,X2) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t1_tsp_2]) ).

fof(c_0_8,plain,
    ! [X5,X6,X7,X8] :
      ( ( X5 = X7
        | g1_pre_topc(X5,X6) != g1_pre_topc(X7,X8)
        | ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X5))) )
      & ( X6 = X8
        | g1_pre_topc(X5,X6) != g1_pre_topc(X7,X8)
        | ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_pre_topc])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ( l1_pre_topc(esk1_0)
    & l1_pre_topc(esk2_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0))
    & esk3_0 = esk4_0
    & v1_tsp_2(esk3_0,esk1_0)
    & ~ v1_tsp_2(esk4_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).

cnf(c_0_10,plain,
    ( X2 = X3
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | g1_pre_topc(X2,X1) != g1_pre_topc(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( X1 = u1_struct_0(esk2_0)
    | g1_pre_topc(X1,X2) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | m1_subset_1(u1_pre_topc(X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X2)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_pre_topc])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ( v1_pre_topc(g1_pre_topc(X3,X4))
        | ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X3))) )
      & ( l1_pre_topc(g1_pre_topc(X3,X4))
        | ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X3))) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g1_pre_topc])])]) ).

cnf(c_0_15,negated_conjecture,
    ( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
    | ~ m1_subset_1(u1_pre_topc(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,plain,
    ( v1_pre_topc(g1_pre_topc(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_20,negated_conjecture,
    l1_pre_topc(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,plain,
    ( l1_pre_topc(g1_pre_topc(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | ~ v1_pre_topc(X2)
      | X2 = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc])]) ).

cnf(c_0_23,negated_conjecture,
    ( v1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))
    | ~ m1_subset_1(u1_pre_topc(esk2_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk2_0)))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    m1_subset_1(u1_pre_topc(esk2_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    ( l1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))
    | ~ m1_subset_1(u1_pre_topc(esk2_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk2_0)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_11]) ).

cnf(c_0_26,plain,
    ( X1 = X4
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | g1_pre_topc(X2,X1) != g1_pre_topc(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,plain,
    ( X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
    | ~ v1_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    v1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_19]),c_0_24])]) ).

cnf(c_0_29,negated_conjecture,
    l1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_20])]) ).

cnf(c_0_30,negated_conjecture,
    ( X1 = u1_pre_topc(esk2_0)
    | g1_pre_topc(X2,X1) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    g1_pre_topc(u1_struct_0(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))),u1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))) = g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_32,negated_conjecture,
    ( u1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))) = u1_pre_topc(esk2_0)
    | ~ m1_subset_1(u1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_33,plain,
    ! [X5,X6,X7,X8] :
      ( ~ l1_pre_topc(X5)
      | ~ l1_pre_topc(X6)
      | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X5)))
      | ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
      | g1_pre_topc(u1_struct_0(X5),u1_pre_topc(X5)) != g1_pre_topc(u1_struct_0(X6),u1_pre_topc(X6))
      | X7 != X8
      | ~ v1_tsp_1(X7,X5)
      | v1_tsp_1(X8,X6) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tsp_1])])])])]) ).

cnf(c_0_34,negated_conjecture,
    u1_pre_topc(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))) = u1_pre_topc(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_16]),c_0_29])]) ).

cnf(c_0_35,plain,
    ( v1_tsp_1(X1,X2)
    | ~ v1_tsp_1(X3,X4)
    | X3 != X1
    | g1_pre_topc(u1_struct_0(X4),u1_pre_topc(X4)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
    | ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_36,plain,
    ! [X4,X5,X6] :
      ( ( v1_tsp_1(X5,X4)
        | ~ v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) )
      & ( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ v1_tsp_1(X6,X4)
        | ~ r1_tarski(X5,X6)
        | X5 = X6
        | ~ v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) )
      & ( m1_subset_1(esk5_2(X4,X5),k1_zfmisc_1(u1_struct_0(X4)))
        | ~ v1_tsp_1(X5,X4)
        | v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) )
      & ( v1_tsp_1(esk5_2(X4,X5),X4)
        | ~ v1_tsp_1(X5,X4)
        | v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) )
      & ( r1_tarski(X5,esk5_2(X4,X5))
        | ~ v1_tsp_1(X5,X4)
        | v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) )
      & ( X5 != esk5_2(X4,X5)
        | ~ v1_tsp_1(X5,X4)
        | v1_tsp_2(X5,X4)
        | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
        | ~ l1_pre_topc(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])])])]) ).

cnf(c_0_37,negated_conjecture,
    g1_pre_topc(u1_struct_0(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))),u1_pre_topc(esk2_0)) = g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)),
    inference(rw,[status(thm)],[c_0_31,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    m1_subset_1(u1_pre_topc(esk2_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_29])]) ).

cnf(c_0_39,plain,
    ( v1_tsp_1(X1,X2)
    | g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) != g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3))
    | ~ v1_tsp_1(X1,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X3)
    | ~ l1_pre_topc(X2) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ( v1_tsp_2(X2,X1)
    | v1_tsp_1(esk5_2(X1,X2),X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    ( v1_tsp_2(X2,X1)
    | m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( u1_pre_topc(esk2_0) = X1
    | g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_37]),c_0_38])]) ).

cnf(c_0_43,plain,
    ( v1_tsp_1(esk5_2(X1,X2),X3)
    | v1_tsp_2(X2,X1)
    | g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
    | ~ v1_tsp_1(X2,X1)
    | ~ m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ l1_pre_topc(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    u1_pre_topc(esk2_0) = u1_pre_topc(esk1_0),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_45,plain,
    ( v1_tsp_1(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    v1_tsp_2(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_47,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_48,plain,
    ( X2 = X3
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1)
    | ~ r1_tarski(X2,X3)
    | ~ v1_tsp_1(X3,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_49,plain,
    ( v1_tsp_2(X2,X1)
    | r1_tarski(X2,esk5_2(X1,X2))
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_50,plain,
    ( v1_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1)
    | X2 != esk5_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_51,negated_conjecture,
    ( v1_tsp_1(esk5_2(esk2_0,X1),X2)
    | v1_tsp_2(X1,esk2_0)
    | g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
    | ~ v1_tsp_1(X1,esk2_0)
    | ~ m1_subset_1(esk5_2(esk2_0,X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ l1_pre_topc(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_19]),c_0_19]),c_0_20])]) ).

cnf(c_0_52,negated_conjecture,
    ( v1_tsp_2(X1,esk2_0)
    | m1_subset_1(esk5_2(esk2_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ v1_tsp_1(X1,esk2_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_20])]) ).

cnf(c_0_53,negated_conjecture,
    v1_tsp_1(esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_17])]) ).

cnf(c_0_54,negated_conjecture,
    ~ v1_tsp_2(esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_55,negated_conjecture,
    esk3_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_56,plain,
    ( v1_tsp_2(X1,X2)
    | ~ v1_tsp_1(esk5_2(X2,X1),X3)
    | ~ v1_tsp_1(X1,X2)
    | ~ v1_tsp_2(X1,X3)
    | ~ m1_subset_1(esk5_2(X2,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X3)
    | ~ l1_pre_topc(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    ( v1_tsp_1(esk5_2(esk2_0,X1),esk1_0)
    | v1_tsp_2(X1,esk2_0)
    | ~ v1_tsp_1(X1,esk2_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_51]),c_0_17])]),c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( v1_tsp_1(esk3_0,X1)
    | g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_53]),c_0_47]),c_0_17])]) ).

cnf(c_0_59,negated_conjecture,
    ~ v1_tsp_2(esk3_0,esk2_0),
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( v1_tsp_2(X1,esk2_0)
    | ~ v1_tsp_1(X1,esk2_0)
    | ~ v1_tsp_2(X1,esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_19]),c_0_17]),c_0_20])]),c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    v1_tsp_1(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_19]),c_0_19]),c_0_47]),c_0_20])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_46]),c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 08:03:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.016 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 63
% 0.23/1.41  # Proof object clause steps            : 48
% 0.23/1.41  # Proof object formula steps           : 15
% 0.23/1.41  # Proof object conjectures             : 35
% 0.23/1.41  # Proof object clause conjectures      : 32
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 20
% 0.23/1.41  # Proof object initial formulas used   : 7
% 0.23/1.41  # Proof object generating inferences   : 24
% 0.23/1.41  # Proof object simplifying inferences  : 51
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 49
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 37
% 0.23/1.41  # Initial clauses                      : 28
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 28
% 0.23/1.41  # Processed clauses                    : 197
% 0.23/1.41  # ...of these trivial                  : 20
% 0.23/1.41  # ...subsumed                          : 63
% 0.23/1.41  # ...remaining for further processing  : 114
% 0.23/1.41  # Other redundant clauses eliminated   : 1
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 9
% 0.23/1.41  # Backward-rewritten                   : 22
% 0.23/1.41  # Generated clauses                    : 386
% 0.23/1.41  # ...of the previous two non-trivial   : 350
% 0.23/1.41  # Contextual simplify-reflections      : 53
% 0.23/1.41  # Paramodulations                      : 365
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 21
% 0.23/1.41  # Current number of processed clauses  : 82
% 0.23/1.41  #    Positive orientable unit clauses  : 22
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 59
% 0.23/1.41  # Current number of unprocessed clauses: 125
% 0.23/1.41  # ...number of literals in the above   : 683
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 31
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 1889
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 1143
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 124
% 0.23/1.41  # Unit Clause-clause subsumption calls : 21
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 24
% 0.23/1.41  # BW rewrite match successes           : 7
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 11739
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.034 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.038 s
% 0.23/1.41  # Maximum resident set size: 3324 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------